We define the Lr-variational integral and we prove that it is equivalent to the HKr-integral defined in 2004 by P. Musial and Y. Sagher in the Studia Mathematica paper The Lr-Henstock–Kurzweil integral. We prove also the continuity of Lr-variation function.
Tulone, F., Musial, P. (2022). The Lr-Variational Integral. MEDITERRANEAN JOURNAL OF MATHEMATICS, 19(3), 19-26 [10.1007/s00009-021-01962-8].
The Lr-Variational Integral
Tulone, Francesco;
2022-03-01
Abstract
We define the Lr-variational integral and we prove that it is equivalent to the HKr-integral defined in 2004 by P. Musial and Y. Sagher in the Studia Mathematica paper The Lr-Henstock–Kurzweil integral. We prove also the continuity of Lr-variation function.
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